Question

Consider a basketball player spinning a ball on the tip of a finger. If a player performs 1.91 J1.91 J of work to set the ball spinning from rest, at what angular speed ????ω will the ball rotate? Model a basketball as a thin-walled hollow sphere. For a men's basketball, the ball has a circumference of 0.749 m0.749 m and a mass of 0.624 kg0.624 kg .

Answer 1

ω = 4.07 rad/s

Step-by-step explanation:

By conservation of the energy:

W = ΔK

`1.91J = I/2*\omega^2`

where
`I = 2/3*m*R^2=0.23kg.m^2`

Solving for ω:

`\omega = √(W*2/I) =4.07rad/s`